无序视界:随机无序固定点的全息图
Disordered horizons: Holography of randomly disordered fixed points
摘要:
我们变形的共形场论与经典引力场的边缘相关的随机无序。我们表明,无序产生一个流到IR固定点与有限数量的混乱。随机无序的不动点的特征在于一个动力学临界指数$z>1$,我们得到的解析(通过图解微扰理论)和数值(通过一个完整的模拟混乱)。IR动力学临界指数随无序度的增大而增大,在无限无序度极限下可能趋于$z \to \infty$。
英文摘要:
We deform conformal field theories with classical gravity duals by marginally relevant random disorder. We show that the disorder generates a flow to IR fixed points with a finite amount of disorder. The randomly disordered fixed points are characterized by a dynamical critical exponent $z>1$ that we obtain both analytically (via resummed perturbation theory) and numerically (via a full simulation of the disorder). The IR dynamical critical exponent increases with the magnitude of disorder, probably tending to $z \to \infty$ in the limit of infinite disorder.
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